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math.AP2026
Curvature Effects on Boundary Accumulation of Self-Propelled Particles: A Fokker-Planck Approach
Jingyi Fu, Jinqi Liu, Benoit Perthame +1
It is well known that self-propelled particles tend to accumulate near boundaries. Although the influence of boundary geometry on this accumulation has been extensively studied usi…
math.AP2024
Confined run-and-tumble model with boundary aggregation: long time behavior and convergence to the confined Fokker-Planck model
Jingyi Fu, Jiuyang Liang, Benoit Perthame +1
The motile micro-organisms such as E. coli, sperm, or some seaweed are usually modelled by self-propelled particles that move with the run-and-tumble process. Individual-based stoc…
math.AP2023
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion
Marie Doumic, Sophie Hecht, Benoit Perthame +1
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems…